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On the maximal connected algebraic subgroups of the Cremona group I

Published online by Cambridge University Press:  22 January 2016

Hiroshi Umemura
Hiroshi Umemura*
Affiliation:
Nagoya University
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This paper is a continuation of the two preceding papers [12], [13] where the classification of the de Jonquières type subgroups in the Cremona group of 3 variables is promised. However the classification of such subgroups is postponed until the article in preparation “On the maximal connected algebraic subgroups of the Cremona group II”. The purpose of this paper is to establish a general method to study algebraic subgroups in the Cremona group of n variables and to illustrate how it works and leads to the classification of Enriques (Theorem (2.25)) when applied to the 2 variable case. This method gives us also the classification of the maximal connected algebraic subgroups of the Cremona group of 3 variables.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 88 , December 1982 , pp. 213 - 246
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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